Department of Mathematics and Computer Science, Ursinus College, Collegeville, PA 19426, USA.
Department of Mathematics and Statistics, Binghamton University, Binghamton, NY 13902, USA.
Math Biosci Eng. 2023 Jan;20(2):3355-3378. doi: 10.3934/mbe.2023158. Epub 2022 Dec 5.
Cannibalism, or intraspecific predation, is the act of an organism consuming another organism of the same species. In predator-prey relationships, there is experimental evidence to support the existence of cannibalism among juvenile prey. In this work, we propose a stage-structured predator-prey system where cannibalism occurs only in the juvenile prey population. We show that cannibalism has both a stabilizing and destabilizing effect depending on the choice of parameters. We perform stability analysis of the system and also show that the system experiences a supercritical Hopf, saddle-node, Bogdanov-Takens and cusp bifurcation. We perform numerical experiments to further support our theoretical findings. We discuss the ecological implications of our results.
同类相食，又称种内捕食，是指一种生物吃掉同种的另一个生物体。在捕食者-猎物关系中，有实验证据表明，在幼年猎物中存在同类相食现象。在这项工作中，我们提出了一个仅在幼年猎物种群中发生同类相食的阶段结构捕食者-猎物系统。我们表明，根据参数的选择，同类相食既有稳定作用，也有不稳定作用。我们对系统进行了稳定性分析，还表明系统经历了超临界 Hopf、鞍结、Bogdanov-Takens 和尖点分岔。我们进行了数值实验来进一步支持我们的理论发现。我们讨论了我们的研究结果的生态意义。
